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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_GENERAL_BLOCK_PANEL_H
+#define EIGEN_GENERAL_BLOCK_PANEL_H
+
+
+namespace Eigen {
+
+namespace internal {
+
+template<typename _LhsScalar, typename _RhsScalar, bool _ConjLhs=false, bool _ConjRhs=false>
+class gebp_traits;
+
+
+/** \internal \returns b if a<=0, and returns a otherwise. */
+inline std::ptrdiff_t manage_caching_sizes_helper(std::ptrdiff_t a, std::ptrdiff_t b)
+{
+ return a<=0 ? b : a;
+}
+
+#if EIGEN_ARCH_i386_OR_x86_64
+const std::ptrdiff_t defaultL1CacheSize = 32*1024;
+const std::ptrdiff_t defaultL2CacheSize = 256*1024;
+const std::ptrdiff_t defaultL3CacheSize = 2*1024*1024;
+#else
+const std::ptrdiff_t defaultL1CacheSize = 16*1024;
+const std::ptrdiff_t defaultL2CacheSize = 512*1024;
+const std::ptrdiff_t defaultL3CacheSize = 512*1024;
+#endif
+
+/** \internal */
+inline void manage_caching_sizes(Action action, std::ptrdiff_t* l1, std::ptrdiff_t* l2, std::ptrdiff_t* l3)
+{
+ static bool m_cache_sizes_initialized = false;
+ static std::ptrdiff_t m_l1CacheSize = 0;
+ static std::ptrdiff_t m_l2CacheSize = 0;
+ static std::ptrdiff_t m_l3CacheSize = 0;
+
+ if(EIGEN_UNLIKELY(!m_cache_sizes_initialized))
+ {
+ int l1CacheSize, l2CacheSize, l3CacheSize;
+ queryCacheSizes(l1CacheSize, l2CacheSize, l3CacheSize);
+ m_l1CacheSize = manage_caching_sizes_helper(l1CacheSize, defaultL1CacheSize);
+ m_l2CacheSize = manage_caching_sizes_helper(l2CacheSize, defaultL2CacheSize);
+ m_l3CacheSize = manage_caching_sizes_helper(l3CacheSize, defaultL3CacheSize);
+ m_cache_sizes_initialized = true;
+ }
+
+ if(EIGEN_UNLIKELY(action==SetAction))
+ {
+ // set the cpu cache size and cache all block sizes from a global cache size in byte
+ eigen_internal_assert(l1!=0 && l2!=0);
+ m_l1CacheSize = *l1;
+ m_l2CacheSize = *l2;
+ m_l3CacheSize = *l3;
+ }
+ else if(EIGEN_LIKELY(action==GetAction))
+ {
+ eigen_internal_assert(l1!=0 && l2!=0);
+ *l1 = m_l1CacheSize;
+ *l2 = m_l2CacheSize;
+ *l3 = m_l3CacheSize;
+ }
+ else
+ {
+ eigen_internal_assert(false);
+ }
+}
+
+#define CEIL(a, b) ((a)+(b)-1)/(b)
+
+/* Helper for computeProductBlockingSizes.
+ *
+ * Given a m x k times k x n matrix product of scalar types \c LhsScalar and \c RhsScalar,
+ * this function computes the blocking size parameters along the respective dimensions
+ * for matrix products and related algorithms. The blocking sizes depends on various
+ * parameters:
+ * - the L1 and L2 cache sizes,
+ * - the register level blocking sizes defined by gebp_traits,
+ * - the number of scalars that fit into a packet (when vectorization is enabled).
+ *
+ * \sa setCpuCacheSizes */
+template<typename LhsScalar, typename RhsScalar, int KcFactor, typename Index>
+void evaluateProductBlockingSizesHeuristic(Index& k, Index& m, Index& n, Index num_threads = 1)
+{
+ // Explanations:
+ // Let's recall the product algorithms form kc x nc horizontal panels B' on the rhs and
+ // mc x kc blocks A' on the lhs. A' has to fit into L2 cache. Moreover, B' is processed
+ // per kc x nr vertical small panels where nr is the blocking size along the n dimension
+ // at the register level. For vectorization purpose, these small vertical panels are unpacked,
+ // e.g., each coefficient is replicated to fit a packet. This small vertical panel has to
+ // stay in L1 cache.
+ typedef gebp_traits<LhsScalar,RhsScalar> Traits;
+ typedef typename Traits::ResScalar ResScalar;
+ enum {
+ kdiv = KcFactor * (Traits::mr * sizeof(LhsScalar) + Traits::nr * sizeof(RhsScalar)),
+ ksub = Traits::mr * Traits::nr * sizeof(ResScalar),
+ k_mask = (0xffffffff/8)*8,
+
+ mr = Traits::mr,
+ mr_mask = (0xffffffff/mr)*mr,
+
+ nr = Traits::nr,
+ nr_mask = (0xffffffff/nr)*nr
+ };
+
+ std::ptrdiff_t l1, l2, l3;
+ manage_caching_sizes(GetAction, &l1, &l2, &l3);
+
+ // Increasing k gives us more time to prefetch the content of the "C"
+ // registers. However once the latency is hidden there is no point in
+ // increasing the value of k, so we'll cap it at 320 (value determined
+ // experimentally).
+ const Index k_cache = (std::min<Index>)((l1-ksub)/kdiv, 320);
+ if (k_cache < k) {
+ k = k_cache & k_mask;
+ eigen_assert(k > 0);
+ }
+
+ const Index n_cache = (l2-l1) / (nr * sizeof(RhsScalar) * k);
+ Index n_per_thread = CEIL(n, num_threads);
+ if (n_cache <= n_per_thread) {
+ // Don't exceed the capacity of the l2 cache.
+ if (n_cache < nr) {
+ n = nr;
+ } else {
+ n = n_cache & nr_mask;
+ eigen_assert(n > 0);
+ }
+ } else {
+ n = (std::min<Index>)(n, (n_per_thread + nr - 1) & nr_mask);
+ }
+
+ if (l3 > l2) {
+ // l3 is shared between all cores, so we'll give each thread its own chunk of l3.
+ const Index m_cache = (l3-l2) / (sizeof(LhsScalar) * k * num_threads);
+ const Index m_per_thread = CEIL(m, num_threads);
+ if(m_cache < m_per_thread && m_cache >= static_cast<Index>(mr)) {
+ m = m_cache & mr_mask;
+ eigen_assert(m > 0);
+ } else {
+ m = (std::min<Index>)(m, (m_per_thread + mr - 1) & mr_mask);
+ }
+ }
+}
+
+template <typename Index>
+bool useSpecificBlockingSizes(Index& k, Index& m, Index& n)
+{
+#ifdef EIGEN_TEST_SPECIFIC_BLOCKING_SIZES
+ if (EIGEN_TEST_SPECIFIC_BLOCKING_SIZES) {
+ k = std::min<Index>(k, EIGEN_TEST_SPECIFIC_BLOCKING_SIZE_K);
+ m = std::min<Index>(m, EIGEN_TEST_SPECIFIC_BLOCKING_SIZE_M);
+ n = std::min<Index>(n, EIGEN_TEST_SPECIFIC_BLOCKING_SIZE_N);
+ return true;
+ }
+#else
+ EIGEN_UNUSED_VARIABLE(k)
+ EIGEN_UNUSED_VARIABLE(m)
+ EIGEN_UNUSED_VARIABLE(n)
+#endif
+ return false;
+}
+
+/** \brief Computes the blocking parameters for a m x k times k x n matrix product
+ *
+ * \param[in,out] k Input: the third dimension of the product. Output: the blocking size along the same dimension.
+ * \param[in,out] m Input: the number of rows of the left hand side. Output: the blocking size along the same dimension.
+ * \param[in,out] n Input: the number of columns of the right hand side. Output: the blocking size along the same dimension.
+ *
+ * Given a m x k times k x n matrix product of scalar types \c LhsScalar and \c RhsScalar,
+ * this function computes the blocking size parameters along the respective dimensions
+ * for matrix products and related algorithms.
+ *
+ * The blocking size parameters may be evaluated:
+ * - either by a heuristic based on cache sizes;
+ * - or using fixed prescribed values (for testing purposes).
+ *
+ * \sa setCpuCacheSizes */
+
+template<typename LhsScalar, typename RhsScalar, int KcFactor, typename Index>
+void computeProductBlockingSizes(Index& k, Index& m, Index& n, Index num_threads = 1)
+{
+ if (!k || !m || !n) {
+ return;
+ }
+
+ if (!useSpecificBlockingSizes(k, m, n)) {
+ evaluateProductBlockingSizesHeuristic<LhsScalar, RhsScalar, KcFactor>(k, m, n, num_threads);
+ }
+
+#if !EIGEN_ARCH_i386_OR_x86_64
+ // The following code rounds k,m,n down to the nearest multiple of register-level blocking sizes.
+ // We should always do that, and in upstream Eigen we always do that.
+ // Unfortunately, we can't do that in Google3 on x86[-64] because this makes tiny differences in results and
+ // we have some unfortunate tests require very specific relative errors which fail because of that,
+ // at least //learning/laser/algorithms/wals:wals_batch_solver_test.
+ // Note that this wouldn't make any difference if we had been using only correctly rounded values,
+ // but we've not! See how in evaluateProductBlockingSizesHeuristic, we do the rounding down by
+ // bit-masking, e.g. mr_mask = (0xffffffff/mr)*mr, implicitly assuming that mr is always a power of
+ // two, which is not the case with the 3px4 kernel.
+ typedef gebp_traits<LhsScalar,RhsScalar> Traits;
+ enum {
+ kr = 8,
+ mr = Traits::mr,
+ nr = Traits::nr
+ };
+ if (k > kr) k -= k % kr;
+ if (m > mr) m -= m % mr;
+ if (n > nr) n -= n % nr;
+#endif
+}
+
+template<typename LhsScalar, typename RhsScalar, typename Index>
+inline void computeProductBlockingSizes(Index& k, Index& m, Index& n, Index num_threads)
+{
+ computeProductBlockingSizes<LhsScalar,RhsScalar,1>(k, m, n, num_threads);
+}
+
+#ifdef EIGEN_HAS_SINGLE_INSTRUCTION_CJMADD
+ #define CJMADD(CJ,A,B,C,T) C = CJ.pmadd(A,B,C);
+#else
+
+ // FIXME (a bit overkill maybe ?)
+
+ template<typename CJ, typename A, typename B, typename C, typename T> struct gebp_madd_selector {
+ EIGEN_ALWAYS_INLINE static void run(const CJ& cj, A& a, B& b, C& c, T& /*t*/)
+ {
+ c = cj.pmadd(a,b,c);
+ }
+ };
+
+ template<typename CJ, typename T> struct gebp_madd_selector<CJ,T,T,T,T> {
+ EIGEN_ALWAYS_INLINE static void run(const CJ& cj, T& a, T& b, T& c, T& t)
+ {
+ t = b; t = cj.pmul(a,t); c = padd(c,t);
+ }
+ };
+
+ template<typename CJ, typename A, typename B, typename C, typename T>
+ EIGEN_STRONG_INLINE void gebp_madd(const CJ& cj, A& a, B& b, C& c, T& t)
+ {
+ gebp_madd_selector<CJ,A,B,C,T>::run(cj,a,b,c,t);
+ }
+
+ #define CJMADD(CJ,A,B,C,T) gebp_madd(CJ,A,B,C,T);
+// #define CJMADD(CJ,A,B,C,T) T = B; T = CJ.pmul(A,T); C = padd(C,T);
+#endif
+
+/* Vectorization logic
+ * real*real: unpack rhs to constant packets, ...
+ *
+ * cd*cd : unpack rhs to (b_r,b_r), (b_i,b_i), mul to get (a_r b_r,a_i b_r) (a_r b_i,a_i b_i),
+ * storing each res packet into two packets (2x2),
+ * at the end combine them: swap the second and addsub them
+ * cf*cf : same but with 2x4 blocks
+ * cplx*real : unpack rhs to constant packets, ...
+ * real*cplx : load lhs as (a0,a0,a1,a1), and mul as usual
+ */
+template<typename _LhsScalar, typename _RhsScalar, bool _ConjLhs, bool _ConjRhs>
+class gebp_traits
+{
+public:
+ typedef _LhsScalar LhsScalar;
+ typedef _RhsScalar RhsScalar;
+ typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
+
+ enum {
+ ConjLhs = _ConjLhs,
+ ConjRhs = _ConjRhs,
+ Vectorizable = packet_traits<LhsScalar>::Vectorizable && packet_traits<RhsScalar>::Vectorizable,
+ LhsPacketSize = Vectorizable ? packet_traits<LhsScalar>::size : 1,
+ RhsPacketSize = Vectorizable ? packet_traits<RhsScalar>::size : 1,
+ ResPacketSize = Vectorizable ? packet_traits<ResScalar>::size : 1,
+
+ NumberOfRegisters = EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS,
+
+ // register block size along the N direction must be 1 or 4
+ nr = 4,
+
+ // register block size along the M direction (currently, this one cannot be modified)
+ default_mr = (EIGEN_PLAIN_ENUM_MIN(16,NumberOfRegisters)/2/nr)*LhsPacketSize,
+#if defined(EIGEN_HAS_SINGLE_INSTRUCTION_MADD) && !defined(EIGEN_VECTORIZE_ALTIVEC) && !defined(EIGEN_VECTORIZE_VSX)
+ // we assume 16 registers
+ mr = Vectorizable ? 3*LhsPacketSize : default_mr,
+#else
+ mr = default_mr,
+#endif
+
+ LhsProgress = LhsPacketSize,
+ RhsProgress = 1
+ };
+
+ typedef typename packet_traits<LhsScalar>::type _LhsPacket;
+ typedef typename packet_traits<RhsScalar>::type _RhsPacket;
+ typedef typename packet_traits<ResScalar>::type _ResPacket;
+
+ typedef typename conditional<Vectorizable,_LhsPacket,LhsScalar>::type LhsPacket;
+ typedef typename conditional<Vectorizable,_RhsPacket,RhsScalar>::type RhsPacket;
+ typedef typename conditional<Vectorizable,_ResPacket,ResScalar>::type ResPacket;
+
+ typedef ResPacket AccPacket;
+
+ EIGEN_STRONG_INLINE void initAcc(AccPacket& p)
+ {
+ p = pset1<ResPacket>(ResScalar(0));
+ }
+
+ EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1, RhsPacket& b2, RhsPacket& b3)
+ {
+ pbroadcast4(b, b0, b1, b2, b3);
+ }
+
+// EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1)
+// {
+// pbroadcast2(b, b0, b1);
+// }
+
+ template<typename RhsPacketType>
+ EIGEN_STRONG_INLINE void loadRhs(const RhsScalar* b, RhsPacketType& dest) const
+ {
+ dest = pset1<RhsPacketType>(*b);
+ }
+
+ EIGEN_STRONG_INLINE void loadRhsQuad(const RhsScalar* b, RhsPacket& dest) const
+ {
+ dest = ploadquad<RhsPacket>(b);
+ }
+
+ template<typename LhsPacketType>
+ EIGEN_STRONG_INLINE void loadLhs(const LhsScalar* a, LhsPacketType& dest) const
+ {
+ dest = pload<LhsPacketType>(a);
+ }
+
+ template<typename LhsPacketType>
+ EIGEN_STRONG_INLINE void loadLhsUnaligned(const LhsScalar* a, LhsPacketType& dest) const
+ {
+ dest = ploadu<LhsPacketType>(a);
+ }
+
+ template<typename LhsPacketType, typename RhsPacketType, typename AccPacketType>
+ EIGEN_STRONG_INLINE void madd(const LhsPacketType& a, const RhsPacketType& b, AccPacketType& c, AccPacketType& tmp) const
+ {
+ // It would be a lot cleaner to call pmadd all the time. Unfortunately if we
+ // let gcc allocate the register in which to store the result of the pmul
+ // (in the case where there is no FMA) gcc fails to figure out how to avoid
+ // spilling register.
+#ifdef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
+ EIGEN_UNUSED_VARIABLE(tmp);
+ c = pmadd(a,b,c);
+#else
+ tmp = b; tmp = pmul(a,tmp); c = padd(c,tmp);
+#endif
+ }
+
+ EIGEN_STRONG_INLINE void acc(const AccPacket& c, const ResPacket& alpha, ResPacket& r) const
+ {
+ r = pmadd(c,alpha,r);
+ }
+
+ template<typename ResPacketHalf>
+ EIGEN_STRONG_INLINE void acc(const ResPacketHalf& c, const ResPacketHalf& alpha, ResPacketHalf& r) const
+ {
+ r = pmadd(c,alpha,r);
+ }
+
+protected:
+// conj_helper<LhsScalar,RhsScalar,ConjLhs,ConjRhs> cj;
+// conj_helper<LhsPacket,RhsPacket,ConjLhs,ConjRhs> pcj;
+};
+
+template<typename RealScalar, bool _ConjLhs>
+class gebp_traits<std::complex<RealScalar>, RealScalar, _ConjLhs, false>
+{
+public:
+ typedef std::complex<RealScalar> LhsScalar;
+ typedef RealScalar RhsScalar;
+ typedef typename scalar_product_traits<LhsScalar, RhsScalar>::ReturnType ResScalar;
+
+ enum {
+ ConjLhs = _ConjLhs,
+ ConjRhs = false,
+ Vectorizable = packet_traits<LhsScalar>::Vectorizable && packet_traits<RhsScalar>::Vectorizable,
+ LhsPacketSize = Vectorizable ? packet_traits<LhsScalar>::size : 1,
+ RhsPacketSize = Vectorizable ? packet_traits<RhsScalar>::size : 1,
+ ResPacketSize = Vectorizable ? packet_traits<ResScalar>::size : 1,
+
+ NumberOfRegisters = EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS,
+ nr = 4,
+#if defined(EIGEN_HAS_SINGLE_INSTRUCTION_MADD) && !defined(EIGEN_VECTORIZE_ALTIVEC) && !defined(EIGEN_VECTORIZE_VSX)
+ // we assume 16 registers
+ mr = 3*LhsPacketSize,
+#else
+ mr = (EIGEN_PLAIN_ENUM_MIN(16,NumberOfRegisters)/2/nr)*LhsPacketSize,
+#endif
+
+ LhsProgress = LhsPacketSize,
+ RhsProgress = 1
+ };
+
+ typedef typename packet_traits<LhsScalar>::type _LhsPacket;
+ typedef typename packet_traits<RhsScalar>::type _RhsPacket;
+ typedef typename packet_traits<ResScalar>::type _ResPacket;
+
+ typedef typename conditional<Vectorizable,_LhsPacket,LhsScalar>::type LhsPacket;
+ typedef typename conditional<Vectorizable,_RhsPacket,RhsScalar>::type RhsPacket;
+ typedef typename conditional<Vectorizable,_ResPacket,ResScalar>::type ResPacket;
+
+ typedef ResPacket AccPacket;
+
+ EIGEN_STRONG_INLINE void initAcc(AccPacket& p)
+ {
+ p = pset1<ResPacket>(ResScalar(0));
+ }
+
+ EIGEN_STRONG_INLINE void loadRhs(const RhsScalar* b, RhsPacket& dest) const
+ {
+ dest = pset1<RhsPacket>(*b);
+ }
+
+ EIGEN_STRONG_INLINE void loadRhsQuad(const RhsScalar* b, RhsPacket& dest) const
+ {
+ dest = pset1<RhsPacket>(*b);
+ }
+
+ EIGEN_STRONG_INLINE void loadLhs(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = pload<LhsPacket>(a);
+ }
+
+ EIGEN_STRONG_INLINE void loadLhsUnaligned(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = ploadu<LhsPacket>(a);
+ }
+
+ EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1, RhsPacket& b2, RhsPacket& b3)
+ {
+ pbroadcast4(b, b0, b1, b2, b3);
+ }
+
+// EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1)
+// {
+// pbroadcast2(b, b0, b1);
+// }
+
+ EIGEN_STRONG_INLINE void madd(const LhsPacket& a, const RhsPacket& b, AccPacket& c, RhsPacket& tmp) const
+ {
+ madd_impl(a, b, c, tmp, typename conditional<Vectorizable,true_type,false_type>::type());
+ }
+
+ EIGEN_STRONG_INLINE void madd_impl(const LhsPacket& a, const RhsPacket& b, AccPacket& c, RhsPacket& tmp, const true_type&) const
+ {
+#ifdef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
+ EIGEN_UNUSED_VARIABLE(tmp);
+ c.v = pmadd(a.v,b,c.v);
+#else
+ tmp = b; tmp = pmul(a.v,tmp); c.v = padd(c.v,tmp);
+#endif
+ }
+
+ EIGEN_STRONG_INLINE void madd_impl(const LhsScalar& a, const RhsScalar& b, ResScalar& c, RhsScalar& /*tmp*/, const false_type&) const
+ {
+ c += a * b;
+ }
+
+ EIGEN_STRONG_INLINE void acc(const AccPacket& c, const ResPacket& alpha, ResPacket& r) const
+ {
+ r = cj.pmadd(c,alpha,r);
+ }
+
+protected:
+ conj_helper<ResPacket,ResPacket,ConjLhs,false> cj;
+};
+
+template<typename Packet>
+struct DoublePacket
+{
+ Packet first;
+ Packet second;
+};
+
+template<typename Packet>
+DoublePacket<Packet> padd(const DoublePacket<Packet> &a, const DoublePacket<Packet> &b)
+{
+ DoublePacket<Packet> res;
+ res.first = padd(a.first, b.first);
+ res.second = padd(a.second,b.second);
+ return res;
+}
+
+template<typename Packet>
+const DoublePacket<Packet>& predux4(const DoublePacket<Packet> &a)
+{
+ return a;
+}
+
+template<typename Packet> struct unpacket_traits<DoublePacket<Packet> > { typedef DoublePacket<Packet> half; };
+// template<typename Packet>
+// DoublePacket<Packet> pmadd(const DoublePacket<Packet> &a, const DoublePacket<Packet> &b)
+// {
+// DoublePacket<Packet> res;
+// res.first = padd(a.first, b.first);
+// res.second = padd(a.second,b.second);
+// return res;
+// }
+
+template<typename RealScalar, bool _ConjLhs, bool _ConjRhs>
+class gebp_traits<std::complex<RealScalar>, std::complex<RealScalar>, _ConjLhs, _ConjRhs >
+{
+public:
+ typedef std::complex<RealScalar> Scalar;
+ typedef std::complex<RealScalar> LhsScalar;
+ typedef std::complex<RealScalar> RhsScalar;
+ typedef std::complex<RealScalar> ResScalar;
+
+ enum {
+ ConjLhs = _ConjLhs,
+ ConjRhs = _ConjRhs,
+ Vectorizable = packet_traits<RealScalar>::Vectorizable
+ && packet_traits<Scalar>::Vectorizable,
+ RealPacketSize = Vectorizable ? packet_traits<RealScalar>::size : 1,
+ ResPacketSize = Vectorizable ? packet_traits<ResScalar>::size : 1,
+ LhsPacketSize = Vectorizable ? packet_traits<LhsScalar>::size : 1,
+ RhsPacketSize = Vectorizable ? packet_traits<RhsScalar>::size : 1,
+
+ // FIXME: should depend on NumberOfRegisters
+ nr = 4,
+ mr = ResPacketSize,
+
+ LhsProgress = ResPacketSize,
+ RhsProgress = 1
+ };
+
+ typedef typename packet_traits<RealScalar>::type RealPacket;
+ typedef typename packet_traits<Scalar>::type ScalarPacket;
+ typedef DoublePacket<RealPacket> DoublePacketType;
+
+ typedef typename conditional<Vectorizable,RealPacket, Scalar>::type LhsPacket;
+ typedef typename conditional<Vectorizable,DoublePacketType,Scalar>::type RhsPacket;
+ typedef typename conditional<Vectorizable,ScalarPacket,Scalar>::type ResPacket;
+ typedef typename conditional<Vectorizable,DoublePacketType,Scalar>::type AccPacket;
+
+ EIGEN_STRONG_INLINE void initAcc(Scalar& p) { p = Scalar(0); }
+
+ EIGEN_STRONG_INLINE void initAcc(DoublePacketType& p)
+ {
+ p.first = pset1<RealPacket>(RealScalar(0));
+ p.second = pset1<RealPacket>(RealScalar(0));
+ }
+
+ // Scalar path
+ EIGEN_STRONG_INLINE void loadRhs(const RhsScalar* b, ResPacket& dest) const
+ {
+ dest = pset1<ResPacket>(*b);
+ }
+
+ // Vectorized path
+ EIGEN_STRONG_INLINE void loadRhs(const RhsScalar* b, DoublePacketType& dest) const
+ {
+ dest.first = pset1<RealPacket>(real(*b));
+ dest.second = pset1<RealPacket>(imag(*b));
+ }
+
+ EIGEN_STRONG_INLINE void loadRhsQuad(const RhsScalar* b, ResPacket& dest) const
+ {
+ loadRhs(b,dest);
+ }
+ EIGEN_STRONG_INLINE void loadRhsQuad(const RhsScalar* b, DoublePacketType& dest) const
+ {
+ eigen_internal_assert(unpacket_traits<ScalarPacket>::size<=4);
+ loadRhs(b,dest);
+ }
+
+ EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1, RhsPacket& b2, RhsPacket& b3)
+ {
+ // FIXME not sure that's the best way to implement it!
+ loadRhs(b+0, b0);
+ loadRhs(b+1, b1);
+ loadRhs(b+2, b2);
+ loadRhs(b+3, b3);
+ }
+
+ // Vectorized path
+ EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, DoublePacketType& b0, DoublePacketType& b1)
+ {
+ // FIXME not sure that's the best way to implement it!
+ loadRhs(b+0, b0);
+ loadRhs(b+1, b1);
+ }
+
+ // Scalar path
+ EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsScalar& b0, RhsScalar& b1)
+ {
+ // FIXME not sure that's the best way to implement it!
+ loadRhs(b+0, b0);
+ loadRhs(b+1, b1);
+ }
+
+ // nothing special here
+ EIGEN_STRONG_INLINE void loadLhs(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = pload<LhsPacket>((const typename unpacket_traits<LhsPacket>::type*)(a));
+ }
+
+ EIGEN_STRONG_INLINE void loadLhsUnaligned(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = ploadu<LhsPacket>((const typename unpacket_traits<LhsPacket>::type*)(a));
+ }
+
+ EIGEN_STRONG_INLINE void madd(const LhsPacket& a, const RhsPacket& b, DoublePacketType& c, RhsPacket& /*tmp*/) const
+ {
+ c.first = padd(pmul(a,b.first), c.first);
+ c.second = padd(pmul(a,b.second),c.second);
+ }
+
+ EIGEN_STRONG_INLINE void madd(const LhsPacket& a, const RhsPacket& b, ResPacket& c, RhsPacket& /*tmp*/) const
+ {
+ c = cj.pmadd(a,b,c);
+ }
+
+ EIGEN_STRONG_INLINE void acc(const Scalar& c, const Scalar& alpha, Scalar& r) const { r += alpha * c; }
+
+ EIGEN_STRONG_INLINE void acc(const DoublePacketType& c, const ResPacket& alpha, ResPacket& r) const
+ {
+ // assemble c
+ ResPacket tmp;
+ if((!ConjLhs)&&(!ConjRhs))
+ {
+ tmp = pcplxflip(pconj(ResPacket(c.second)));
+ tmp = padd(ResPacket(c.first),tmp);
+ }
+ else if((!ConjLhs)&&(ConjRhs))
+ {
+ tmp = pconj(pcplxflip(ResPacket(c.second)));
+ tmp = padd(ResPacket(c.first),tmp);
+ }
+ else if((ConjLhs)&&(!ConjRhs))
+ {
+ tmp = pcplxflip(ResPacket(c.second));
+ tmp = padd(pconj(ResPacket(c.first)),tmp);
+ }
+ else if((ConjLhs)&&(ConjRhs))
+ {
+ tmp = pcplxflip(ResPacket(c.second));
+ tmp = psub(pconj(ResPacket(c.first)),tmp);
+ }
+
+ r = pmadd(tmp,alpha,r);
+ }
+
+protected:
+ conj_helper<LhsScalar,RhsScalar,ConjLhs,ConjRhs> cj;
+};
+
+template<typename RealScalar, bool _ConjRhs>
+class gebp_traits<RealScalar, std::complex<RealScalar>, false, _ConjRhs >
+{
+public:
+ typedef std::complex<RealScalar> Scalar;
+ typedef RealScalar LhsScalar;
+ typedef Scalar RhsScalar;
+ typedef Scalar ResScalar;
+
+ enum {
+ ConjLhs = false,
+ ConjRhs = _ConjRhs,
+ Vectorizable = packet_traits<RealScalar>::Vectorizable
+ && packet_traits<Scalar>::Vectorizable,
+ LhsPacketSize = Vectorizable ? packet_traits<LhsScalar>::size : 1,
+ RhsPacketSize = Vectorizable ? packet_traits<RhsScalar>::size : 1,
+ ResPacketSize = Vectorizable ? packet_traits<ResScalar>::size : 1,
+
+ NumberOfRegisters = EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS,
+ // FIXME: should depend on NumberOfRegisters
+ nr = 4,
+ mr = (EIGEN_PLAIN_ENUM_MIN(16,NumberOfRegisters)/2/nr)*ResPacketSize,
+
+ LhsProgress = ResPacketSize,
+ RhsProgress = 1
+ };
+
+ typedef typename packet_traits<LhsScalar>::type _LhsPacket;
+ typedef typename packet_traits<RhsScalar>::type _RhsPacket;
+ typedef typename packet_traits<ResScalar>::type _ResPacket;
+
+ typedef typename conditional<Vectorizable,_LhsPacket,LhsScalar>::type LhsPacket;
+ typedef typename conditional<Vectorizable,_RhsPacket,RhsScalar>::type RhsPacket;
+ typedef typename conditional<Vectorizable,_ResPacket,ResScalar>::type ResPacket;
+
+ typedef ResPacket AccPacket;
+
+ EIGEN_STRONG_INLINE void initAcc(AccPacket& p)
+ {
+ p = pset1<ResPacket>(ResScalar(0));
+ }
+
+ EIGEN_STRONG_INLINE void loadRhs(const RhsScalar* b, RhsPacket& dest) const
+ {
+ dest = pset1<RhsPacket>(*b);
+ }
+
+ void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1, RhsPacket& b2, RhsPacket& b3)
+ {
+ pbroadcast4(b, b0, b1, b2, b3);
+ }
+
+// EIGEN_STRONG_INLINE void broadcastRhs(const RhsScalar* b, RhsPacket& b0, RhsPacket& b1)
+// {
+// // FIXME not sure that's the best way to implement it!
+// b0 = pload1<RhsPacket>(b+0);
+// b1 = pload1<RhsPacket>(b+1);
+// }
+
+ EIGEN_STRONG_INLINE void loadLhs(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = ploaddup<LhsPacket>(a);
+ }
+
+ EIGEN_STRONG_INLINE void loadRhsQuad(const RhsScalar* b, RhsPacket& dest) const
+ {
+ eigen_internal_assert(unpacket_traits<RhsPacket>::size<=4);
+ loadRhs(b,dest);
+ }
+
+ EIGEN_STRONG_INLINE void loadLhsUnaligned(const LhsScalar* a, LhsPacket& dest) const
+ {
+ dest = ploaddup<LhsPacket>(a);
+ }
+
+ EIGEN_STRONG_INLINE void madd(const LhsPacket& a, const RhsPacket& b, AccPacket& c, RhsPacket& tmp) const
+ {
+ madd_impl(a, b, c, tmp, typename conditional<Vectorizable,true_type,false_type>::type());
+ }
+
+ EIGEN_STRONG_INLINE void madd_impl(const LhsPacket& a, const RhsPacket& b, AccPacket& c, RhsPacket& tmp, const true_type&) const
+ {
+#ifdef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
+ EIGEN_UNUSED_VARIABLE(tmp);
+ c.v = pmadd(a,b.v,c.v);
+#else
+ tmp = b; tmp.v = pmul(a,tmp.v); c = padd(c,tmp);
+#endif
+
+ }
+
+ EIGEN_STRONG_INLINE void madd_impl(const LhsScalar& a, const RhsScalar& b, ResScalar& c, RhsScalar& /*tmp*/, const false_type&) const
+ {
+ c += a * b;
+ }
+
+ EIGEN_STRONG_INLINE void acc(const AccPacket& c, const ResPacket& alpha, ResPacket& r) const
+ {
+ r = cj.pmadd(alpha,c,r);
+ }
+
+protected:
+ conj_helper<ResPacket,ResPacket,false,ConjRhs> cj;
+};
+
+// helper for the rotating kernel below
+template <typename GebpKernel, bool UseRotatingKernel = GebpKernel::UseRotatingKernel>
+struct PossiblyRotatingKernelHelper
+{
+ // default implementation, not rotating
+
+ typedef typename GebpKernel::Traits Traits;
+ typedef typename Traits::RhsScalar RhsScalar;
+ typedef typename Traits::RhsPacket RhsPacket;
+ typedef typename Traits::AccPacket AccPacket;
+
+ const Traits& traits;
+ EIGEN_ALWAYS_INLINE PossiblyRotatingKernelHelper(const Traits& t) : traits(t) {}
+
+
+ template <size_t K, size_t Index> EIGEN_ALWAYS_INLINE
+ void loadOrRotateRhs(RhsPacket& to, const RhsScalar* from) const
+ {
+ traits.loadRhs(from + (Index+4*K)*Traits::RhsProgress, to);
+ }
+
+ EIGEN_ALWAYS_INLINE void unrotateResult(AccPacket&,
+ AccPacket&,
+ AccPacket&,
+ AccPacket&)
+ {
+ }
+};
+
+// rotating implementation
+template <typename GebpKernel>
+struct PossiblyRotatingKernelHelper<GebpKernel, true>
+{
+ typedef typename GebpKernel::Traits Traits;
+ typedef typename Traits::RhsScalar RhsScalar;
+ typedef typename Traits::RhsPacket RhsPacket;
+ typedef typename Traits::AccPacket AccPacket;
+
+ const Traits& traits;
+ EIGEN_ALWAYS_INLINE PossiblyRotatingKernelHelper(const Traits& t) : traits(t) {}
+
+ template <size_t K, size_t Index> EIGEN_ALWAYS_INLINE
+ void loadOrRotateRhs(RhsPacket& to, const RhsScalar* from) const
+ {
+ if (Index == 0) {
+ to = pload<RhsPacket>(from + 4*K*Traits::RhsProgress);
+ } else {
+ EIGEN_ASM_COMMENT("Do not reorder code, we're very tight on registers");
+ to = protate<1>(to);
+ }
+ }
+
+ EIGEN_ALWAYS_INLINE void unrotateResult(AccPacket& res0,
+ AccPacket& res1,
+ AccPacket& res2,
+ AccPacket& res3)
+ {
+ PacketBlock<AccPacket> resblock;
+ resblock.packet[0] = res0;
+ resblock.packet[1] = res1;
+ resblock.packet[2] = res2;
+ resblock.packet[3] = res3;
+ ptranspose(resblock);
+ resblock.packet[3] = protate<1>(resblock.packet[3]);
+ resblock.packet[2] = protate<2>(resblock.packet[2]);
+ resblock.packet[1] = protate<3>(resblock.packet[1]);
+ ptranspose(resblock);
+ res0 = resblock.packet[0];
+ res1 = resblock.packet[1];
+ res2 = resblock.packet[2];
+ res3 = resblock.packet[3];
+ }
+};
+
+/* optimized GEneral packed Block * packed Panel product kernel
+ *
+ * Mixing type logic: C += A * B
+ * | A | B | comments
+ * |real |cplx | no vectorization yet, would require to pack A with duplication
+ * |cplx |real | easy vectorization
+ */
+template<typename LhsScalar, typename RhsScalar, typename Index, typename DataMapper, int mr, int nr, bool ConjugateLhs, bool ConjugateRhs>
+struct gebp_kernel
+{
+ typedef gebp_traits<LhsScalar,RhsScalar,ConjugateLhs,ConjugateRhs> Traits;
+ typedef typename Traits::ResScalar ResScalar;
+ typedef typename Traits::LhsPacket LhsPacket;
+ typedef typename Traits::RhsPacket RhsPacket;
+ typedef typename Traits::ResPacket ResPacket;
+ typedef typename Traits::AccPacket AccPacket;
+
+ typedef gebp_traits<RhsScalar,LhsScalar,ConjugateRhs,ConjugateLhs> SwappedTraits;
+ typedef typename SwappedTraits::ResScalar SResScalar;
+ typedef typename SwappedTraits::LhsPacket SLhsPacket;
+ typedef typename SwappedTraits::RhsPacket SRhsPacket;
+ typedef typename SwappedTraits::ResPacket SResPacket;
+ typedef typename SwappedTraits::AccPacket SAccPacket;
+
+ typedef typename DataMapper::LinearMapper LinearMapper;
+
+ enum {
+ Vectorizable = Traits::Vectorizable,
+ LhsProgress = Traits::LhsProgress,
+ RhsProgress = Traits::RhsProgress,
+ ResPacketSize = Traits::ResPacketSize
+ };
+
+ EIGEN_DONT_INLINE
+ void operator()(const DataMapper& res, const LhsScalar* blockA, const RhsScalar* blockB,
+ Index rows, Index depth, Index cols, ResScalar alpha,
+ Index strideA=-1, Index strideB=-1, Index offsetA=0, Index offsetB=0);
+
+ static const bool UseRotatingKernel =
+ EIGEN_ARCH_ARM &&
+ internal::is_same<LhsScalar, float>::value &&
+ internal::is_same<RhsScalar, float>::value &&
+ internal::is_same<ResScalar, float>::value &&
+ Traits::LhsPacketSize == 4 &&
+ Traits::RhsPacketSize == 4 &&
+ Traits::ResPacketSize == 4;
+};
+
+template<typename LhsScalar, typename RhsScalar, typename Index, typename DataMapper, int mr, int nr, bool ConjugateLhs, bool ConjugateRhs>
+EIGEN_DONT_INLINE
+void gebp_kernel<LhsScalar, RhsScalar, Index, DataMapper, mr, nr, ConjugateLhs, ConjugateRhs>
+ ::operator()(const DataMapper& res, const LhsScalar* blockA, const RhsScalar* blockB,
+ Index rows, Index depth, Index cols, ResScalar alpha,
+ Index strideA, Index strideB, Index offsetA, Index offsetB)
+ {
+ Traits traits;
+ SwappedTraits straits;
+
+ if(strideA==-1) strideA = depth;
+ if(strideB==-1) strideB = depth;
+ conj_helper<LhsScalar,RhsScalar,ConjugateLhs,ConjugateRhs> cj;
+ Index packet_cols4 = nr>=4 ? (cols/4) * 4 : 0;
+ const Index peeled_mc3 = mr>=3*Traits::LhsProgress ? (rows/(3*LhsProgress))*(3*LhsProgress) : 0;
+ const Index peeled_mc2 = mr>=2*Traits::LhsProgress ? peeled_mc3+((rows-peeled_mc3)/(2*LhsProgress))*(2*LhsProgress) : 0;
+ const Index peeled_mc1 = mr>=1*Traits::LhsProgress ? (rows/(1*LhsProgress))*(1*LhsProgress) : 0;
+ enum { pk = 8 }; // NOTE Such a large peeling factor is important for large matrices (~ +5% when >1000 on Haswell)
+ const Index peeled_kc = depth & ~(pk-1);
+ const Index prefetch_res_offset = 0;
+// const Index depth2 = depth & ~1;
+
+ //---------- Process 3 * LhsProgress rows at once ----------
+ // This corresponds to 3*LhsProgress x nr register blocks.
+ // Usually, make sense only with FMA
+ if(mr>=3*Traits::LhsProgress)
+ {
+ PossiblyRotatingKernelHelper<gebp_kernel> possiblyRotatingKernelHelper(traits);
+
+ // loops on each largest micro horizontal panel of lhs (3*Traits::LhsProgress x depth)
+ for(Index i=0; i<peeled_mc3; i+=3*Traits::LhsProgress)
+ {
+ // loops on each largest micro vertical panel of rhs (depth * nr)
+ for(Index j2=0; j2<packet_cols4; j2+=nr)
+ {
+ // We select a 3*Traits::LhsProgress x nr micro block of res which is entirely
+ // stored into 3 x nr registers.
+
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(3*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB*nr];
+ prefetch(&blB[0]);
+ LhsPacket A0, A1;
+
+ // gets res block as register
+ AccPacket C0, C1, C2, C3,
+ C4, C5, C6, C7,
+ C8, C9, C10, C11;
+ traits.initAcc(C0); traits.initAcc(C1); traits.initAcc(C2); traits.initAcc(C3);
+ traits.initAcc(C4); traits.initAcc(C5); traits.initAcc(C6); traits.initAcc(C7);
+ traits.initAcc(C8); traits.initAcc(C9); traits.initAcc(C10); traits.initAcc(C11);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2 + 0);
+ LinearMapper r1 = res.getLinearMapper(i, j2 + 1);
+ LinearMapper r2 = res.getLinearMapper(i, j2 + 2);
+ LinearMapper r3 = res.getLinearMapper(i, j2 + 3);
+
+ r0.prefetch(0);
+ r1.prefetch(0);
+ r2.prefetch(0);
+ r3.prefetch(0);
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 3pX4");
+ RhsPacket B_0, T0;
+ LhsPacket A2;
+
+#define EIGEN_GEBP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 3pX4"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ internal::prefetch(blA+(3*K+16)*LhsProgress); \
+ if (EIGEN_ARCH_ARM) internal::prefetch(blB+(4*K+16)*RhsProgress); /* Bug 953 */ \
+ traits.loadLhs(&blA[(0+3*K)*LhsProgress], A0); \
+ traits.loadLhs(&blA[(1+3*K)*LhsProgress], A1); \
+ traits.loadLhs(&blA[(2+3*K)*LhsProgress], A2); \
+ possiblyRotatingKernelHelper.template loadOrRotateRhs<K, 0>(B_0, blB); \
+ traits.madd(A0, B_0, C0, T0); \
+ traits.madd(A1, B_0, C4, T0); \
+ traits.madd(A2, B_0, C8, B_0); \
+ possiblyRotatingKernelHelper.template loadOrRotateRhs<K, 1>(B_0, blB); \
+ traits.madd(A0, B_0, C1, T0); \
+ traits.madd(A1, B_0, C5, T0); \
+ traits.madd(A2, B_0, C9, B_0); \
+ possiblyRotatingKernelHelper.template loadOrRotateRhs<K, 2>(B_0, blB); \
+ traits.madd(A0, B_0, C2, T0); \
+ traits.madd(A1, B_0, C6, T0); \
+ traits.madd(A2, B_0, C10, B_0); \
+ possiblyRotatingKernelHelper.template loadOrRotateRhs<K, 3>(B_0, blB); \
+ traits.madd(A0, B_0, C3 , T0); \
+ traits.madd(A1, B_0, C7, T0); \
+ traits.madd(A2, B_0, C11, B_0); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 3pX4"); \
+ } while(false)
+
+ internal::prefetch(blB);
+ EIGEN_GEBP_ONESTEP(0);
+ EIGEN_GEBP_ONESTEP(1);
+ EIGEN_GEBP_ONESTEP(2);
+ EIGEN_GEBP_ONESTEP(3);
+ EIGEN_GEBP_ONESTEP(4);
+ EIGEN_GEBP_ONESTEP(5);
+ EIGEN_GEBP_ONESTEP(6);
+ EIGEN_GEBP_ONESTEP(7);
+
+ blB += pk*4*RhsProgress;
+ blA += pk*3*Traits::LhsProgress;
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 3pX4");
+ }
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0, T0;
+ LhsPacket A2;
+ EIGEN_GEBP_ONESTEP(0);
+ blB += 4*RhsProgress;
+ blA += 3*Traits::LhsProgress;
+ }
+#undef EIGEN_GEBP_ONESTEP
+
+ possiblyRotatingKernelHelper.unrotateResult(C0, C1, C2, C3);
+ possiblyRotatingKernelHelper.unrotateResult(C4, C5, C6, C7);
+ possiblyRotatingKernelHelper.unrotateResult(C8, C9, C10, C11);
+
+ ResPacket R0, R1, R2;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r0.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r0.loadPacket(2 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ traits.acc(C4, alphav, R1);
+ traits.acc(C8, alphav, R2);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ r0.storePacket(1 * Traits::ResPacketSize, R1);
+ r0.storePacket(2 * Traits::ResPacketSize, R2);
+
+ R0 = r1.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r1.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r1.loadPacket(2 * Traits::ResPacketSize);
+ traits.acc(C1, alphav, R0);
+ traits.acc(C5, alphav, R1);
+ traits.acc(C9, alphav, R2);
+ r1.storePacket(0 * Traits::ResPacketSize, R0);
+ r1.storePacket(1 * Traits::ResPacketSize, R1);
+ r1.storePacket(2 * Traits::ResPacketSize, R2);
+
+ R0 = r2.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r2.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r2.loadPacket(2 * Traits::ResPacketSize);
+ traits.acc(C2, alphav, R0);
+ traits.acc(C6, alphav, R1);
+ traits.acc(C10, alphav, R2);
+ r2.storePacket(0 * Traits::ResPacketSize, R0);
+ r2.storePacket(1 * Traits::ResPacketSize, R1);
+ r2.storePacket(2 * Traits::ResPacketSize, R2);
+
+ R0 = r3.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r3.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r3.loadPacket(2 * Traits::ResPacketSize);
+ traits.acc(C3, alphav, R0);
+ traits.acc(C7, alphav, R1);
+ traits.acc(C11, alphav, R2);
+ r3.storePacket(0 * Traits::ResPacketSize, R0);
+ r3.storePacket(1 * Traits::ResPacketSize, R1);
+ r3.storePacket(2 * Traits::ResPacketSize, R2);
+ }
+
+ // Deal with remaining columns of the rhs
+ for(Index j2=packet_cols4; j2<cols; j2++)
+ {
+ // One column at a time
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(3*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB];
+ prefetch(&blB[0]);
+ // gets res block as register
+ AccPacket C0, C4, C8;
+ traits.initAcc(C0);
+ traits.initAcc(C4);
+ traits.initAcc(C8);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2);
+ r0.prefetch(0);
+ LhsPacket A0, A1, A2;
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 3pX1");
+ RhsPacket B_0;
+#define EIGEN_GEBGP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 3pX1"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ traits.loadLhs(&blA[(0+3*K)*LhsProgress], A0); \
+ traits.loadLhs(&blA[(1+3*K)*LhsProgress], A1); \
+ traits.loadLhs(&blA[(2+3*K)*LhsProgress], A2); \
+ traits.loadRhs(&blB[(0+K)*RhsProgress], B_0); \
+ traits.madd(A0, B_0, C0, B_0); \
+ traits.madd(A1, B_0, C4, B_0); \
+ traits.madd(A2, B_0, C8, B_0); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 3pX1"); \
+ } while(false)
+
+ EIGEN_GEBGP_ONESTEP(0);
+ EIGEN_GEBGP_ONESTEP(1);
+ EIGEN_GEBGP_ONESTEP(2);
+ EIGEN_GEBGP_ONESTEP(3);
+ EIGEN_GEBGP_ONESTEP(4);
+ EIGEN_GEBGP_ONESTEP(5);
+ EIGEN_GEBGP_ONESTEP(6);
+ EIGEN_GEBGP_ONESTEP(7);
+
+ blB += pk*RhsProgress;
+ blA += pk*3*Traits::LhsProgress;
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 3pX1");
+ }
+
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0;
+ EIGEN_GEBGP_ONESTEP(0);
+ blB += RhsProgress;
+ blA += 3*Traits::LhsProgress;
+ }
+#undef EIGEN_GEBGP_ONESTEP
+ ResPacket R0, R1, R2;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r0.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r0.loadPacket(2 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ traits.acc(C4, alphav, R1);
+ traits.acc(C8, alphav, R2);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ r0.storePacket(1 * Traits::ResPacketSize, R1);
+ r0.storePacket(2 * Traits::ResPacketSize, R2);
+ }
+ }
+ }
+
+ //---------- Process 2 * LhsProgress rows at once ----------
+ if(mr>=2*Traits::LhsProgress)
+ {
+ // loops on each largest micro horizontal panel of lhs (2*LhsProgress x depth)
+ for(Index i=peeled_mc3; i<peeled_mc2; i+=2*LhsProgress)
+ {
+ // loops on each largest micro vertical panel of rhs (depth * nr)
+ for(Index j2=0; j2<packet_cols4; j2+=nr)
+ {
+ // We select a 2*Traits::LhsProgress x nr micro block of res which is entirely
+ // stored into 2 x nr registers.
+
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(2*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB*nr];
+ prefetch(&blB[0]);
+
+ // gets res block as register
+ AccPacket C0, C1, C2, C3,
+ C4, C5, C6, C7;
+ traits.initAcc(C0); traits.initAcc(C1); traits.initAcc(C2); traits.initAcc(C3);
+ traits.initAcc(C4); traits.initAcc(C5); traits.initAcc(C6); traits.initAcc(C7);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2 + 0);
+ LinearMapper r1 = res.getLinearMapper(i, j2 + 1);
+ LinearMapper r2 = res.getLinearMapper(i, j2 + 2);
+ LinearMapper r3 = res.getLinearMapper(i, j2 + 3);
+
+ r0.prefetch(prefetch_res_offset);
+ r1.prefetch(prefetch_res_offset);
+ r2.prefetch(prefetch_res_offset);
+ r3.prefetch(prefetch_res_offset);
+
+ LhsPacket A0, A1;
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 2pX4");
+ RhsPacket B_0, B1, B2, B3, T0;
+
+ // The 2 ASM comments in the #define are intended to prevent gcc
+ // from optimizing the code accross steps since it ends up spilling
+ // registers in this case.
+ #define EIGEN_GEBGP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 2pX4"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ traits.loadLhs(&blA[(0+2*K)*LhsProgress], A0); \
+ traits.loadLhs(&blA[(1+2*K)*LhsProgress], A1); \
+ traits.broadcastRhs(&blB[(0+4*K)*RhsProgress], B_0, B1, B2, B3); \
+ traits.madd(A0, B_0, C0, T0); \
+ traits.madd(A1, B_0, C4, B_0); \
+ traits.madd(A0, B1, C1, T0); \
+ traits.madd(A1, B1, C5, B1); \
+ traits.madd(A0, B2, C2, T0); \
+ traits.madd(A1, B2, C6, B2); \
+ traits.madd(A0, B3, C3, T0); \
+ traits.madd(A1, B3, C7, B3); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 2pX4"); \
+ } while(false)
+
+ prefetch(&blB[pk*4*RhsProgress]);
+ EIGEN_GEBGP_ONESTEP(0);
+ EIGEN_GEBGP_ONESTEP(1);
+ EIGEN_GEBGP_ONESTEP(2);
+ EIGEN_GEBGP_ONESTEP(3);
+ EIGEN_GEBGP_ONESTEP(4);
+ EIGEN_GEBGP_ONESTEP(5);
+ EIGEN_GEBGP_ONESTEP(6);
+ EIGEN_GEBGP_ONESTEP(7);
+
+ blB += pk*4*RhsProgress;
+ blA += pk*(2*Traits::LhsProgress);
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 2pX4");
+ }
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0, B1, B2, B3, T0;
+ EIGEN_GEBGP_ONESTEP(0);
+ blB += 4*RhsProgress;
+ blA += 2*Traits::LhsProgress;
+ }
+#undef EIGEN_GEBGP_ONESTEP
+
+ ResPacket R0, R1, R2, R3;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r0.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r1.loadPacket(0 * Traits::ResPacketSize);
+ R3 = r1.loadPacket(1 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ traits.acc(C4, alphav, R1);
+ traits.acc(C1, alphav, R2);
+ traits.acc(C5, alphav, R3);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ r0.storePacket(1 * Traits::ResPacketSize, R1);
+ r1.storePacket(0 * Traits::ResPacketSize, R2);
+ r1.storePacket(1 * Traits::ResPacketSize, R3);
+
+ R0 = r2.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r2.loadPacket(1 * Traits::ResPacketSize);
+ R2 = r3.loadPacket(0 * Traits::ResPacketSize);
+ R3 = r3.loadPacket(1 * Traits::ResPacketSize);
+ traits.acc(C2, alphav, R0);
+ traits.acc(C6, alphav, R1);
+ traits.acc(C3, alphav, R2);
+ traits.acc(C7, alphav, R3);
+ r2.storePacket(0 * Traits::ResPacketSize, R0);
+ r2.storePacket(1 * Traits::ResPacketSize, R1);
+ r3.storePacket(0 * Traits::ResPacketSize, R2);
+ r3.storePacket(1 * Traits::ResPacketSize, R3);
+ }
+
+ // Deal with remaining columns of the rhs
+ for(Index j2=packet_cols4; j2<cols; j2++)
+ {
+ // One column at a time
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(2*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB];
+ prefetch(&blB[0]);
+
+ // gets res block as register
+ AccPacket C0, C4;
+ traits.initAcc(C0);
+ traits.initAcc(C4);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2);
+ r0.prefetch(prefetch_res_offset);
+ LhsPacket A0, A1;
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 2pX1");
+ RhsPacket B_0, B1;
+
+#define EIGEN_GEBGP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 2pX1"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ traits.loadLhs(&blA[(0+2*K)*LhsProgress], A0); \
+ traits.loadLhs(&blA[(1+2*K)*LhsProgress], A1); \
+ traits.loadRhs(&blB[(0+K)*RhsProgress], B_0); \
+ traits.madd(A0, B_0, C0, B1); \
+ traits.madd(A1, B_0, C4, B_0); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 2pX1"); \
+ } while(false)
+
+ EIGEN_GEBGP_ONESTEP(0);
+ EIGEN_GEBGP_ONESTEP(1);
+ EIGEN_GEBGP_ONESTEP(2);
+ EIGEN_GEBGP_ONESTEP(3);
+ EIGEN_GEBGP_ONESTEP(4);
+ EIGEN_GEBGP_ONESTEP(5);
+ EIGEN_GEBGP_ONESTEP(6);
+ EIGEN_GEBGP_ONESTEP(7);
+
+ blB += pk*RhsProgress;
+ blA += pk*2*Traits::LhsProgress;
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 2pX1");
+ }
+
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0, B1;
+ EIGEN_GEBGP_ONESTEP(0);
+ blB += RhsProgress;
+ blA += 2*Traits::LhsProgress;
+ }
+#undef EIGEN_GEBGP_ONESTEP
+ ResPacket R0, R1;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r0.loadPacket(1 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ traits.acc(C4, alphav, R1);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ r0.storePacket(1 * Traits::ResPacketSize, R1);
+ }
+ }
+ }
+ //---------- Process 1 * LhsProgress rows at once ----------
+ if(mr>=1*Traits::LhsProgress)
+ {
+ // loops on each largest micro horizontal panel of lhs (1*LhsProgress x depth)
+ for(Index i=peeled_mc2; i<peeled_mc1; i+=1*LhsProgress)
+ {
+ // loops on each largest micro vertical panel of rhs (depth * nr)
+ for(Index j2=0; j2<packet_cols4; j2+=nr)
+ {
+ // We select a 1*Traits::LhsProgress x nr micro block of res which is entirely
+ // stored into 1 x nr registers.
+
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(1*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB*nr];
+ prefetch(&blB[0]);
+
+ // gets res block as register
+ AccPacket C0, C1, C2, C3;
+ traits.initAcc(C0);
+ traits.initAcc(C1);
+ traits.initAcc(C2);
+ traits.initAcc(C3);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2 + 0);
+ LinearMapper r1 = res.getLinearMapper(i, j2 + 1);
+ LinearMapper r2 = res.getLinearMapper(i, j2 + 2);
+ LinearMapper r3 = res.getLinearMapper(i, j2 + 3);
+
+ r0.prefetch(prefetch_res_offset);
+ r1.prefetch(prefetch_res_offset);
+ r2.prefetch(prefetch_res_offset);
+ r3.prefetch(prefetch_res_offset);
+ LhsPacket A0;
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 1pX4");
+ RhsPacket B_0, B1, B2, B3;
+
+#define EIGEN_GEBGP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 1pX4"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ traits.loadLhs(&blA[(0+1*K)*LhsProgress], A0); \
+ traits.broadcastRhs(&blB[(0+4*K)*RhsProgress], B_0, B1, B2, B3); \
+ traits.madd(A0, B_0, C0, B_0); \
+ traits.madd(A0, B1, C1, B1); \
+ traits.madd(A0, B2, C2, B2); \
+ traits.madd(A0, B3, C3, B3); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 1pX4"); \
+ } while(false)
+
+ EIGEN_GEBGP_ONESTEP(0);
+ EIGEN_GEBGP_ONESTEP(1);
+ EIGEN_GEBGP_ONESTEP(2);
+ EIGEN_GEBGP_ONESTEP(3);
+ EIGEN_GEBGP_ONESTEP(4);
+ EIGEN_GEBGP_ONESTEP(5);
+ EIGEN_GEBGP_ONESTEP(6);
+ EIGEN_GEBGP_ONESTEP(7);
+
+ blB += pk*4*RhsProgress;
+ blA += pk*1*LhsProgress;
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 1pX4");
+ }
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0, B1, B2, B3;
+ EIGEN_GEBGP_ONESTEP(0);
+ blB += 4*RhsProgress;
+ blA += 1*LhsProgress;
+ }
+#undef EIGEN_GEBGP_ONESTEP
+
+ ResPacket R0, R1;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r1.loadPacket(0 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ traits.acc(C1, alphav, R1);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ r1.storePacket(0 * Traits::ResPacketSize, R1);
+
+ R0 = r2.loadPacket(0 * Traits::ResPacketSize);
+ R1 = r3.loadPacket(0 * Traits::ResPacketSize);
+ traits.acc(C2, alphav, R0);
+ traits.acc(C3, alphav, R1);
+ r2.storePacket(0 * Traits::ResPacketSize, R0);
+ r3.storePacket(0 * Traits::ResPacketSize, R1);
+ }
+
+ // Deal with remaining columns of the rhs
+ for(Index j2=packet_cols4; j2<cols; j2++)
+ {
+ // One column at a time
+ const LhsScalar* blA = &blockA[i*strideA+offsetA*(1*Traits::LhsProgress)];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB];
+ prefetch(&blB[0]);
+
+ // gets res block as register
+ AccPacket C0;
+ traits.initAcc(C0);
+
+ LinearMapper r0 = res.getLinearMapper(i, j2);
+ LhsPacket A0;
+
+ // performs "inner" products
+ for(Index k=0; k<peeled_kc; k+=pk)
+ {
+ EIGEN_ASM_COMMENT("begin gebp micro kernel 2pX1");
+ RhsPacket B_0;
+
+#define EIGEN_GEBGP_ONESTEP(K) \
+ do { \
+ EIGEN_ASM_COMMENT("begin step of gebp micro kernel 2pX1"); \
+ EIGEN_ASM_COMMENT("Note: these asm comments work around bug 935!"); \
+ traits.loadLhs(&blA[(0+1*K)*LhsProgress], A0); \
+ traits.loadRhs(&blB[(0+K)*RhsProgress], B_0); \
+ traits.madd(A0, B_0, C0, B_0); \
+ EIGEN_ASM_COMMENT("end step of gebp micro kernel 2pX1"); \
+ } while(false)
+
+ EIGEN_GEBGP_ONESTEP(0);
+ EIGEN_GEBGP_ONESTEP(1);
+ EIGEN_GEBGP_ONESTEP(2);
+ EIGEN_GEBGP_ONESTEP(3);
+ EIGEN_GEBGP_ONESTEP(4);
+ EIGEN_GEBGP_ONESTEP(5);
+ EIGEN_GEBGP_ONESTEP(6);
+ EIGEN_GEBGP_ONESTEP(7);
+
+ blB += pk*RhsProgress;
+ blA += pk*1*Traits::LhsProgress;
+
+ EIGEN_ASM_COMMENT("end gebp micro kernel 2pX1");
+ }
+
+ // process remaining peeled loop
+ for(Index k=peeled_kc; k<depth; k++)
+ {
+ RhsPacket B_0;
+ EIGEN_GEBGP_ONESTEP(0);
+ blB += RhsProgress;
+ blA += 1*Traits::LhsProgress;
+ }
+#undef EIGEN_GEBGP_ONESTEP
+ ResPacket R0;
+ ResPacket alphav = pset1<ResPacket>(alpha);
+ R0 = r0.loadPacket(0 * Traits::ResPacketSize);
+ traits.acc(C0, alphav, R0);
+ r0.storePacket(0 * Traits::ResPacketSize, R0);
+ }
+ }
+ }
+ //---------- Process remaining rows, 1 by 1 ----------
+ for(Index i=peeled_mc1; i<rows; i+=1)
+ {
+ // loop on each panel of the rhs
+ for(Index j2=0; j2<packet_cols4; j2+=nr)
+ {
+ const LhsScalar* blA = &blockA[i*strideA+offsetA];
+ prefetch(&blA[0]);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB*nr];
+ prefetch(&blB[0]);
+
+ if( (SwappedTraits::LhsProgress % 4)==0 )
+ {
+ // NOTE The following piece of code wont work for 512 bit registers
+ SAccPacket C0, C1, C2, C3;
+ straits.initAcc(C0);
+ straits.initAcc(C1);
+ straits.initAcc(C2);
+ straits.initAcc(C3);
+
+ const Index spk = (std::max)(1,SwappedTraits::LhsProgress/4);
+ const Index endk = (depth/spk)*spk;
+ const Index endk4 = (depth/(spk*4))*(spk*4);
+
+ Index k=0;
+ for(; k<endk4; k+=4*spk)
+ {
+ prefetch(&blB[4*SwappedTraits::LhsProgress]);
+
+ SLhsPacket A0,A1,A2,A3;
+ SRhsPacket B_0,B_1,B_2,B_3;
+
+ straits.loadLhsUnaligned(blB+0*SwappedTraits::LhsProgress, A0);
+ straits.loadLhsUnaligned(blB+1*SwappedTraits::LhsProgress, A1);
+ straits.loadRhsQuad(blA+0*spk, B_0);
+ straits.loadRhsQuad(blA+1*spk, B_1);
+ straits.madd(A0,B_0,C0,B_0);
+ straits.madd(A1,B_1,C1,B_1);
+
+ straits.loadLhsUnaligned(blB+2*SwappedTraits::LhsProgress, A2);
+ straits.loadLhsUnaligned(blB+3*SwappedTraits::LhsProgress, A3);
+ straits.loadRhsQuad(blA+2*spk, B_2);
+ straits.loadRhsQuad(blA+3*spk, B_3);
+ straits.madd(A2,B_2,C2,B_2);
+ straits.madd(A3,B_3,C3,B_3);
+
+ blB += 4*SwappedTraits::LhsProgress;
+ blA += 4*spk;
+ }
+ C0 = padd(padd(C0,C1),padd(C2,C3));
+ for(; k<endk; k+=spk)
+ {
+ SLhsPacket A0;
+ SRhsPacket B_0;
+
+ straits.loadLhsUnaligned(blB, A0);
+ straits.loadRhsQuad(blA, B_0);
+ straits.madd(A0,B_0,C0,B_0);
+
+ blB += SwappedTraits::LhsProgress;
+ blA += spk;
+ }
+ if(SwappedTraits::LhsProgress==8)
+ {
+ // Special case where we have to first reduce the accumulation register C0
+ typedef typename conditional<SwappedTraits::LhsProgress==8,typename unpacket_traits<SResPacket>::half,SResPacket>::type SResPacketHalf;
+ typedef typename conditional<SwappedTraits::LhsProgress==8,typename unpacket_traits<SLhsPacket>::half,SLhsPacket>::type SLhsPacketHalf;
+ typedef typename conditional<SwappedTraits::LhsProgress==8,typename unpacket_traits<SLhsPacket>::half,SRhsPacket>::type SRhsPacketHalf;
+ typedef typename conditional<SwappedTraits::LhsProgress==8,typename unpacket_traits<SAccPacket>::half,SAccPacket>::type SAccPacketHalf;
+
+ SResPacketHalf R = res.template gatherPacket<SResPacketHalf>(i, j2);
+ SResPacketHalf alphav = pset1<SResPacketHalf>(alpha);
+
+ if(depth-endk>0)
+ {
+ // We have to handle the last row of the rhs which corresponds to a half-packet
+ SLhsPacketHalf a0;
+ SRhsPacketHalf b0;
+ straits.loadLhsUnaligned(blB, a0);
+ straits.loadRhs(blA, b0);
+ SAccPacketHalf c0 = predux4(C0);
+ straits.madd(a0,b0,c0,b0);
+ straits.acc(c0, alphav, R);
+ }
+ else
+ {
+ straits.acc(predux4(C0), alphav, R);
+ }
+ res.scatterPacket(i, j2, R);
+ }
+ else
+ {
+ SResPacket R = res.template gatherPacket<SResPacket>(i, j2);
+ SResPacket alphav = pset1<SResPacket>(alpha);
+ straits.acc(C0, alphav, R);
+ res.scatterPacket(i, j2, R);
+ }
+ }
+ else // scalar path
+ {
+ // get a 1 x 4 res block as registers
+ ResScalar C0(0), C1(0), C2(0), C3(0);
+
+ for(Index k=0; k<depth; k++)
+ {
+ LhsScalar A0 = blA[k];
+ RhsScalar B_0 = blB[0];
+ RhsScalar B_1 = blB[1];
+ CJMADD(cj,A0,B_0,C0, B_0);
+ CJMADD(cj,A0,B_1,C1, B_1);
+ RhsScalar B_2 = blB[2];
+ RhsScalar B_3 = blB[3];
+ CJMADD(cj,A0,B_2,C2, B_2);
+ CJMADD(cj,A0,B_3,C3, B_3);
+
+ blB += 4;
+ }
+ res(i, j2 + 0) += alpha * C0;
+ res(i, j2 + 1) += alpha * C1;
+ res(i, j2 + 2) += alpha * C2;
+ res(i, j2 + 3) += alpha * C3;
+ }
+ }
+
+ // remaining columns
+ for(Index j2=packet_cols4; j2<cols; j2++)
+ {
+ const LhsScalar* blA = &blockA[i*strideA+offsetA];
+ // prefetch(blA);
+ // gets a 1 x 1 res block as registers
+ ResScalar C0(0);
+ const RhsScalar* blB = &blockB[j2*strideB+offsetB];
+ for(Index k=0; k<depth; k++)
+ {
+ LhsScalar A0 = blA[k];
+ RhsScalar B_0 = blB[k];
+ CJMADD(cj, A0, B_0, C0, B_0);
+ }
+ res(i, j2) += alpha * C0;
+ }
+ }
+ }
+
+
+#undef CJMADD
+
+// pack a block of the lhs
+// The traversal is as follow (mr==4):
+// 0 4 8 12 ...
+// 1 5 9 13 ...
+// 2 6 10 14 ...
+// 3 7 11 15 ...
+//
+// 16 20 24 28 ...
+// 17 21 25 29 ...
+// 18 22 26 30 ...
+// 19 23 27 31 ...
+//
+// 32 33 34 35 ...
+// 36 36 38 39 ...
+template<typename Scalar, typename Index, typename DataMapper, int Pack1, int Pack2, bool Conjugate, bool PanelMode>
+struct gemm_pack_lhs<Scalar, Index, DataMapper, Pack1, Pack2, ColMajor, Conjugate, PanelMode>
+{
+ typedef typename DataMapper::LinearMapper LinearMapper;
+ EIGEN_DONT_INLINE void operator()(Scalar* blockA, const DataMapper& lhs, Index depth, Index rows, Index stride=0, Index offset=0);
+};
+
+template<typename Scalar, typename Index, typename DataMapper, int Pack1, int Pack2, bool Conjugate, bool PanelMode>
+EIGEN_DONT_INLINE void gemm_pack_lhs<Scalar, Index, DataMapper, Pack1, Pack2, ColMajor, Conjugate, PanelMode>
+ ::operator()(Scalar* blockA, const DataMapper& lhs, Index depth, Index rows, Index stride, Index offset)
+{
+ typedef typename packet_traits<Scalar>::type Packet;
+ enum { PacketSize = packet_traits<Scalar>::size };
+
+ EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK LHS");
+ EIGEN_UNUSED_VARIABLE(stride);
+ EIGEN_UNUSED_VARIABLE(offset);
+ eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
+ eigen_assert( ((Pack1%PacketSize)==0 && Pack1<=4*PacketSize) || (Pack1<=4) );
+ conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
+
+ const Index peeled_mc3 = Pack1>=3*PacketSize ? (rows/(3*PacketSize))*(3*PacketSize) : 0;
+ const Index peeled_mc2 = Pack1>=2*PacketSize ? peeled_mc3+((rows-peeled_mc3)/(2*PacketSize))*(2*PacketSize) : 0;
+ const Index peeled_mc1 = Pack1>=1*PacketSize ? (rows/(1*PacketSize))*(1*PacketSize) : 0;
+ const Index peeled_mc0 = Pack2>=1*PacketSize ? peeled_mc1
+ : Pack2>1 ? (rows/Pack2)*Pack2 : 0;
+
+ Index i=0;
+
+ // Pack 3 packets
+ if(Pack1>=3*PacketSize)
+ {
+ if(PanelMode)
+ {
+ for(; i<peeled_mc3; i+=3*PacketSize)
+ {
+ blockA += (3*PacketSize) * offset;
+
+ for(Index k=0; k<depth; k++)
+ {
+ Packet A, B, C;
+ A = lhs.loadPacket(i+0*PacketSize, k);
+ B = lhs.loadPacket(i+1*PacketSize, k);
+ C = lhs.loadPacket(i+2*PacketSize, k);
+ pstore(blockA+0*PacketSize, cj.pconj(A));
+ pstore(blockA+1*PacketSize, cj.pconj(B));
+ pstore(blockA+2*PacketSize, cj.pconj(C));
+ blockA += 3*PacketSize;
+ }
+ blockA += (3*PacketSize) * (stride-offset-depth);
+ }
+ }
+ else
+ {
+ // Read the data from DRAM as sequentially as possible. We're writing to
+ // SRAM so the order of the writes shouldn't impact performance.
+ for(Index k=0; k<depth; k++)
+ {
+ Scalar* localBlockA = blockA + 3*PacketSize*k;
+ for(Index local_i = i; local_i<peeled_mc3; local_i+=3*PacketSize)
+ {
+ Packet A, B, C;
+ A = lhs.loadPacket(local_i+0*PacketSize, k);
+ B = lhs.loadPacket(local_i+1*PacketSize, k);
+ C = lhs.loadPacket(local_i+2*PacketSize, k);
+ pstore(localBlockA+0*PacketSize, cj.pconj(A));
+ pstore(localBlockA+1*PacketSize, cj.pconj(B));
+ pstore(localBlockA+2*PacketSize, cj.pconj(C));
+ localBlockA += 3*PacketSize*depth;
+ }
+ }
+ blockA += depth*peeled_mc3;
+ i = peeled_mc3;
+ }
+ }
+ // Pack 2 packets
+ if(Pack1>=2*PacketSize)
+ {
+ if(PanelMode)
+ {
+ for(; i<peeled_mc2; i+=2*PacketSize)
+ {
+ blockA += (2*PacketSize) * offset;
+
+ for(Index k=0; k<depth; k++)
+ {
+ Packet A, B;
+ A = lhs.loadPacket(i+0*PacketSize, k);
+ B = lhs.loadPacket(i+1*PacketSize, k);
+ pstore(blockA+0*PacketSize, cj.pconj(A));
+ pstore(blockA+1*PacketSize, cj.pconj(B));
+ blockA += 2*PacketSize;
+ }
+ blockA += (2*PacketSize) * (stride-offset-depth);
+ }
+ }
+ else
+ {
+ // Read the data from RAM as sequentially as possible.
+ for(Index k=0; k<depth; k++)
+ {
+ Scalar* localBlockA = blockA + 2*PacketSize*k;
+ for(Index local_i = i; local_i<peeled_mc2; local_i+=2*PacketSize)
+ {
+ Packet A, B;
+ A = lhs.loadPacket(local_i+0*PacketSize, k);
+ B = lhs.loadPacket(local_i+1*PacketSize, k);
+ pstore(localBlockA+0*PacketSize, cj.pconj(A));
+ pstore(localBlockA+1*PacketSize, cj.pconj(B));
+ localBlockA += 2*PacketSize*depth;
+ }
+ }
+ blockA += depth*(peeled_mc2-i);
+ i = peeled_mc2;
+ }
+ }
+ // Pack 1 packets
+ if(Pack1>=1*PacketSize)
+ {
+ if(PanelMode)
+ {
+ for(; i<peeled_mc1; i+=1*PacketSize)
+ {
+ blockA += (1*PacketSize) * offset;
+
+ for(Index k=0; k<depth; k++)
+ {
+ Packet A;
+ A = lhs.loadPacket(i+0*PacketSize, k);
+ pstore(blockA, cj.pconj(A));
+ blockA+=PacketSize;
+ }
+ blockA += (1*PacketSize) * (stride-offset-depth);
+ }
+ }
+ else
+ {
+ // Read the data from RAM as sequentially as possible.
+ for(Index k=0; k<depth; k++)
+ {
+ Scalar* localBlockA = blockA + PacketSize*k;
+ for(Index local_i = i; local_i<peeled_mc1; local_i+=1*PacketSize)
+ {
+ Packet A;
+ A = lhs.loadPacket(local_i+0*PacketSize, k);
+ pstore(localBlockA, cj.pconj(A));
+ localBlockA += PacketSize*depth;
+ }
+ }
+ blockA += depth*(peeled_mc1-i);
+ i = peeled_mc1;
+ }
+ }
+ // Pack scalars
+ if(Pack2<PacketSize && Pack2>1)
+ {
+ for(; i<peeled_mc0; i+=Pack2)
+ {
+ if (PanelMode) {
+ blockA += Pack2 * offset;
+ }
+
+ for(Index k=0; k<depth; k++) {
+ const LinearMapper dm0 = lhs.getLinearMapper(i, k);
+ for(Index w=0; w<Pack2; w++) {
+ *blockA = cj(dm0(w));
+ blockA += 1;
+ }
+ }
+
+ if(PanelMode) blockA += Pack2 * (stride-offset-depth);
+ }
+ }
+ for(; i<rows; i++)
+ {
+ if(PanelMode) blockA += offset;
+ for(Index k=0; k<depth; k++) {
+ *blockA = cj(lhs(i, k));
+ blockA += 1;
+ }
+ if(PanelMode) blockA += (stride-offset-depth);
+ }
+}
+
+template<typename Scalar, typename Index, typename DataMapper, int Pack1, int Pack2, bool Conjugate, bool PanelMode>
+struct gemm_pack_lhs<Scalar, Index, DataMapper, Pack1, Pack2, RowMajor, Conjugate, PanelMode>
+{
+ typedef typename DataMapper::LinearMapper LinearMapper;
+ EIGEN_DONT_INLINE void operator()(Scalar* blockA, const DataMapper& lhs, Index depth, Index rows, Index stride=0, Index offset=0);
+};
+
+template<typename Scalar, typename Index, typename DataMapper, int Pack1, int Pack2, bool Conjugate, bool PanelMode>
+EIGEN_DONT_INLINE void gemm_pack_lhs<Scalar, Index, DataMapper, Pack1, Pack2, RowMajor, Conjugate, PanelMode>
+ ::operator()(Scalar* blockA, const DataMapper& lhs, Index depth, Index rows, Index stride, Index offset)
+{
+ typedef typename packet_traits<Scalar>::type Packet;
+ enum { PacketSize = packet_traits<Scalar>::size };
+
+ EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK LHS");
+ EIGEN_UNUSED_VARIABLE(stride);
+ EIGEN_UNUSED_VARIABLE(offset);
+ eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
+ conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
+
+// const Index peeled_mc3 = Pack1>=3*PacketSize ? (rows/(3*PacketSize))*(3*PacketSize) : 0;
+// const Index peeled_mc2 = Pack1>=2*PacketSize ? peeled_mc3+((rows-peeled_mc3)/(2*PacketSize))*(2*PacketSize) : 0;
+// const Index peeled_mc1 = Pack1>=1*PacketSize ? (rows/(1*PacketSize))*(1*PacketSize) : 0;
+
+ int pack = Pack1;
+ Index i = 0;
+ while(pack>0)
+ {
+ Index remaining_rows = rows-i;
+ Index peeled_mc = i+(remaining_rows/pack)*pack;
+ for(; i<peeled_mc; i+=pack)
+ {
+ if(PanelMode) blockA += pack * offset;
+
+ const Index peeled_k = (depth/PacketSize)*PacketSize;
+ Index k=0;
+ if(pack>=PacketSize)
+ {
+ for(; k<peeled_k; k+=PacketSize)
+ {
+ for (Index m = 0; m < pack; m += PacketSize)
+ {
+ PacketBlock<Packet> kernel;
+ for (int p = 0; p < PacketSize; ++p) kernel.packet[p] = lhs.loadPacket(i+p+m, k);
+ ptranspose(kernel);
+ for (int p = 0; p < PacketSize; ++p) pstore(blockA+m+(pack)*p, cj.pconj(kernel.packet[p]));
+ }
+ blockA += PacketSize*pack;
+ }
+ }
+ for(; k<depth; k++)
+ {
+ Index w=0;
+ for(; w<pack-3; w+=4)
+ {
+ Scalar a(cj(lhs(i+w+0, k))),
+ b(cj(lhs(i+w+1, k))),
+ c(cj(lhs(i+w+2, k))),
+ d(cj(lhs(i+w+3, k)));
+ blockA[0] = a;
+ blockA[1] = b;
+ blockA[2] = c;
+ blockA[3] = d;
+ blockA += 4;
+ }
+ if(pack%4)
+ for(;w<pack;++w) {
+ *blockA = cj(lhs(i+w, k));
+ blockA += 1;
+ }
+ }
+
+ if(PanelMode) blockA += pack * (stride-offset-depth);
+ }
+
+ pack -= PacketSize;
+ if(pack<Pack2 && (pack+PacketSize)!=Pack2)
+ pack = Pack2;
+ }
+
+ for(; i<rows; i++)
+ {
+ if(PanelMode) blockA += offset;
+ for(Index k=0; k<depth; k++) {
+ *blockA = cj(lhs(i, k));
+ blockA += 1;
+ }
+ if(PanelMode) blockA += (stride-offset-depth);
+ }
+}
+
+// copy a complete panel of the rhs
+// this version is optimized for column major matrices
+// The traversal order is as follow: (nr==4):
+// 0 1 2 3 12 13 14 15 24 27
+// 4 5 6 7 16 17 18 19 25 28
+// 8 9 10 11 20 21 22 23 26 29
+// . . . . . . . . . .
+template<typename Scalar, typename Index, typename DataMapper, int nr, bool Conjugate, bool PanelMode>
+struct gemm_pack_rhs<Scalar, Index, DataMapper, nr, ColMajor, Conjugate, PanelMode>
+{
+ typedef typename packet_traits<Scalar>::type Packet;
+ typedef typename DataMapper::LinearMapper LinearMapper;
+ enum { PacketSize = packet_traits<Scalar>::size };
+ EIGEN_DONT_INLINE void operator()(Scalar* blockB, const DataMapper& rhs, Index depth, Index cols, Index stride=0, Index offset=0);
+};
+
+template<typename Scalar, typename Index, typename DataMapper, int nr, bool Conjugate, bool PanelMode>
+EIGEN_DONT_INLINE void gemm_pack_rhs<Scalar, Index, DataMapper, nr, ColMajor, Conjugate, PanelMode>
+::operator()(Scalar* blockB, const DataMapper& rhs, Index depth, Index cols, Index stride, Index offset)
+{
+ EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK RHS COLMAJOR");
+ EIGEN_UNUSED_VARIABLE(stride);
+ EIGEN_UNUSED_VARIABLE(offset);
+ eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
+ conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
+ Index packet_cols8 = nr>=8 ? (cols/8) * 8 : 0;
+ Index packet_cols4 = nr>=4 ? (cols/4) * 4 : 0;
+ const Index peeled_k = (depth/PacketSize)*PacketSize;
+// if(nr>=8)
+// {
+// for(Index j2=0; j2<packet_cols8; j2+=8)
+// {
+// // skip what we have before
+// if(PanelMode) count += 8 * offset;
+// const Scalar* b0 = &rhs[(j2+0)*rhsStride];
+// const Scalar* b1 = &rhs[(j2+1)*rhsStride];
+// const Scalar* b2 = &rhs[(j2+2)*rhsStride];
+// const Scalar* b3 = &rhs[(j2+3)*rhsStride];
+// const Scalar* b4 = &rhs[(j2+4)*rhsStride];
+// const Scalar* b5 = &rhs[(j2+5)*rhsStride];
+// const Scalar* b6 = &rhs[(j2+6)*rhsStride];
+// const Scalar* b7 = &rhs[(j2+7)*rhsStride];
+// Index k=0;
+// if(PacketSize==8) // TODO enbale vectorized transposition for PacketSize==4
+// {
+// for(; k<peeled_k; k+=PacketSize) {
+// PacketBlock<Packet> kernel;
+// for (int p = 0; p < PacketSize; ++p) {
+// kernel.packet[p] = ploadu<Packet>(&rhs[(j2+p)*rhsStride+k]);
+// }
+// ptranspose(kernel);
+// for (int p = 0; p < PacketSize; ++p) {
+// pstoreu(blockB+count, cj.pconj(kernel.packet[p]));
+// count+=PacketSize;
+// }
+// }
+// }
+// for(; k<depth; k++)
+// {
+// blockB[count+0] = cj(b0[k]);
+// blockB[count+1] = cj(b1[k]);
+// blockB[count+2] = cj(b2[k]);
+// blockB[count+3] = cj(b3[k]);
+// blockB[count+4] = cj(b4[k]);
+// blockB[count+5] = cj(b5[k]);
+// blockB[count+6] = cj(b6[k]);
+// blockB[count+7] = cj(b7[k]);
+// count += 8;
+// }
+// // skip what we have after
+// if(PanelMode) count += 8 * (stride-offset-depth);
+// }
+// }
+
+ if(nr>=4)
+ {
+ for(Index j2=packet_cols8; j2<packet_cols4; j2+=4)
+ {
+ // skip what we have before
+ if(PanelMode) blockB += 4 * offset;
+
+ // TODO: each of these makes a copy of the stride :(
+ const LinearMapper dm0 = rhs.getLinearMapper(0, j2 + 0);
+ const LinearMapper dm1 = rhs.getLinearMapper(0, j2 + 1);
+ const LinearMapper dm2 = rhs.getLinearMapper(0, j2 + 2);
+ const LinearMapper dm3 = rhs.getLinearMapper(0, j2 + 3);
+
+ Index k=0;
+ if((PacketSize%4)==0) // TODO enable vectorized transposition for PacketSize==2 ??
+ {
+ for(; k<peeled_k; k+=PacketSize) {
+ PacketBlock<Packet, 4> kernel;
+ kernel.packet[0] = dm0.loadPacket(k);
+ kernel.packet[1] = dm1.loadPacket(k);
+ kernel.packet[2] = dm2.loadPacket(k);
+ kernel.packet[3] = dm3.loadPacket(k);
+ ptranspose(kernel);
+ pstoreu(blockB+0*PacketSize, cj.pconj(kernel.packet[0]));
+ pstoreu(blockB+1*PacketSize, cj.pconj(kernel.packet[1]));
+ pstoreu(blockB+2*PacketSize, cj.pconj(kernel.packet[2]));
+ pstoreu(blockB+3*PacketSize, cj.pconj(kernel.packet[3]));
+ blockB+=4*PacketSize;
+ }
+ }
+ for(; k<depth; k++)
+ {
+ blockB[0] = cj(dm0(k));
+ blockB[1] = cj(dm1(k));
+ blockB[2] = cj(dm2(k));
+ blockB[3] = cj(dm3(k));
+ blockB += 4;
+ }
+ // skip what we have after
+ if(PanelMode) blockB += 4 * (stride-offset-depth);
+ }
+ }
+
+ // copy the remaining columns one at a time (nr==1)
+ for(Index j2=packet_cols4; j2<cols; ++j2)
+ {
+ const LinearMapper dm0 = rhs.getLinearMapper(0, j2);
+ if(PanelMode) blockB += offset;
+ for(Index k=0; k<depth; k++)
+ {
+ *blockB = cj(dm0(k));
+ blockB += 1;
+ }
+ if(PanelMode) blockB += (stride-offset-depth);
+ }
+}
+
+// this version is optimized for row major matrices
+template<typename Scalar, typename Index, typename DataMapper, int nr, bool Conjugate, bool PanelMode>
+struct gemm_pack_rhs<Scalar, Index, DataMapper, nr, RowMajor, Conjugate, PanelMode>
+{
+ typedef typename packet_traits<Scalar>::type Packet;
+ typedef typename packet_traits<Scalar>::half HalfPacket;
+ typedef typename DataMapper::LinearMapper LinearMapper;
+ enum {
+ PacketSize = packet_traits<Scalar>::size,
+ HalfPacketSize = packet_traits<Scalar>::HasHalfPacket ? unpacket_traits<typename packet_traits<Scalar>::half>::size : 0
+ };
+ EIGEN_DONT_INLINE void operator()(Scalar* blockB, const DataMapper& rhs, Index depth, Index cols, Index stride=0, Index offset=0);
+};
+
+template<typename Scalar, typename Index, typename DataMapper, int nr, bool Conjugate, bool PanelMode>
+EIGEN_DONT_INLINE void gemm_pack_rhs<Scalar, Index, DataMapper, nr, RowMajor, Conjugate, PanelMode>
+ ::operator()(Scalar* blockB, const DataMapper& rhs, Index depth, Index cols, Index stride, Index offset)
+{
+ EIGEN_ASM_COMMENT("EIGEN PRODUCT PACK RHS ROWMAJOR");
+ EIGEN_UNUSED_VARIABLE(stride);
+ EIGEN_UNUSED_VARIABLE(offset);
+ eigen_assert(((!PanelMode) && stride==0 && offset==0) || (PanelMode && stride>=depth && offset<=stride));
+ conj_if<NumTraits<Scalar>::IsComplex && Conjugate> cj;
+ Index packet_cols8 = nr>=8 ? (cols/8) * 8 : 0;
+ Index packet_cols4 = nr>=4 ? (cols/4) * 4 : 0;
+
+// if(nr>=8)
+// {
+// for(Index j2=0; j2<packet_cols8; j2+=8)
+// {
+// // skip what we have before
+// if(PanelMode) count += 8 * offset;
+// for(Index k=0; k<depth; k++)
+// {
+// if (PacketSize==8) {
+// Packet A = ploadu<Packet>(&rhs[k*rhsStride + j2]);
+// pstoreu(blockB+count, cj.pconj(A));
+// } else if (PacketSize==4) {
+// Packet A = ploadu<Packet>(&rhs[k*rhsStride + j2]);
+// Packet B = ploadu<Packet>(&rhs[k*rhsStride + j2 + PacketSize]);
+// pstoreu(blockB+count, cj.pconj(A));
+// pstoreu(blockB+count+PacketSize, cj.pconj(B));
+// } else {
+// const Scalar* b0 = &rhs[k*rhsStride + j2];
+// blockB[count+0] = cj(b0[0]);
+// blockB[count+1] = cj(b0[1]);
+// blockB[count+2] = cj(b0[2]);
+// blockB[count+3] = cj(b0[3]);
+// blockB[count+4] = cj(b0[4]);
+// blockB[count+5] = cj(b0[5]);
+// blockB[count+6] = cj(b0[6]);
+// blockB[count+7] = cj(b0[7]);
+// }
+// count += 8;
+// }
+// // skip what we have after
+// if(PanelMode) count += 8 * (stride-offset-depth);
+// }
+// }
+ if(nr>=4)
+ {
+ for(Index j2=packet_cols8; j2<packet_cols4; j2+=4)
+ {
+ // skip what we have before
+ if(PanelMode) blockB += 4 * offset;
+ for(Index k=0; k<depth; k++)
+ {
+ if (PacketSize==4) {
+ Packet A = rhs.loadPacket(k, j2);
+ pstore(blockB, cj.pconj(A));
+ blockB += PacketSize;
+ }
+ else if (HalfPacketSize==4) {
+ HalfPacket A = rhs.loadHalfPacket(k, j2);
+ pstore<Scalar, HalfPacket>(blockB, cj.pconj(A));
+ blockB += HalfPacketSize;
+ }
+ else {
+ const LinearMapper dm0 = rhs.getLinearMapper(k, j2);
+ blockB[0] = cj(dm0(0));
+ blockB[1] = cj(dm0(1));
+ blockB[2] = cj(dm0(2));
+ blockB[3] = cj(dm0(3));
+ blockB += 4;
+ }
+ }
+ // skip what we have after
+ if(PanelMode) blockB += 4 * (stride-offset-depth);
+ }
+ }
+ // copy the remaining columns one at a time (nr==1)
+ for(Index j2=packet_cols4; j2<cols; ++j2)
+ {
+ if(PanelMode) blockB += offset;
+ for(Index k=0; k<depth; k++)
+ {
+ *blockB = cj(rhs(k, j2));
+ blockB += 1;
+ }
+ if(PanelMode) blockB += stride-offset-depth;
+ }
+}
+
+} // end namespace internal
+
+/** \returns the currently set level 1 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
+ * \sa setCpuCacheSize */
+inline std::ptrdiff_t l1CacheSize()
+{
+ std::ptrdiff_t l1, l2, l3;
+ internal::manage_caching_sizes(GetAction, &l1, &l2, &l3);
+ return l1;
+}
+
+/** \returns the currently set level 2 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
+ * \sa setCpuCacheSize */
+inline std::ptrdiff_t l2CacheSize()
+{
+ std::ptrdiff_t l1, l2, l3;
+ internal::manage_caching_sizes(GetAction, &l1, &l2, &l3);
+ return l2;
+}
+
+/** \returns the currently set level 3 cpu cache size (in bytes) used to estimate the ideal blocking size parameters.
+ * \sa setCpuCacheSize */
+inline std::ptrdiff_t l3CacheSize()
+{
+ std::ptrdiff_t l1, l2, l3;
+ internal::manage_caching_sizes(GetAction, &l1, &l2, &l3);
+ return l3;
+}
+
+/** Set the cpu L1 and L2 cache sizes (in bytes).
+ * These values are use to adjust the size of the blocks
+ * for the algorithms working per blocks.
+ *
+ * \sa computeProductBlockingSizes */
+inline void setCpuCacheSizes(std::ptrdiff_t l1, std::ptrdiff_t l2, std::ptrdiff_t l3)
+{
+ internal::manage_caching_sizes(SetAction, &l1, &l2, &l3);
+}
+
+} // end namespace Eigen
+
+#endif // EIGEN_GENERAL_BLOCK_PANEL_H